For each direct statement in the problems below, write (a) the converse, (b) the

Question

For each direct statement in the problems below, write (a) the converse, (b) the inverse, and (c) the contrapositive in if … then … form. [ Hint: Restate the direct statement in if … then … form if it is not already in that form.]

d ~ q ~ p

e. Discuss the equivalences that exist among the direct conditional statement, the
converse, the inverse, and the contrapositive.

f. State the contrapositive of “If the square of a natural number is even, then the natural
number is even.” The two statements must have the same truth value. Use several
examples and inductive reasoning to decide whether both are true or both are false.

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